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Finding the Fourth Proportional to 498.39, 747.53 and 315.23

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Solution

The fourth proportional to 498.39, 747.53 and 315.23 is: 472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.39 : 747.53 = 315.23 : x
  2. Step 2: Convert to fraction form
    498.39/747.53 = 315.23/x
  3. Step 3: Cross multiply
    498.39x = 747.53 × 315.23
  4. Step 4: Simplify right side
    498.39x = 235,639.75
  5. Step 5: Solve for x
    x = 235,639.75/498.39
  6. Step 6: Final answer
    x = 472.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.